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Atlas › Integer Profiles › Node 8,935,580

8,935,580

22 × 5 × 229 × 1951
Abundant Even Composite

8,935,580 factors as 2^2 × 5 × 229 × 1951. Its 24 positive divisors give a proper-divisor sum of 9,920,740, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 229 × 1951
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,856,320
Proper Divisor Sum 9,920,740
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8935573 ← → #8935583

Radix Representation

Decimal 8935580
Binary 100010000101100010011100 (24 bits)
Octal 0o42054234
Hexadecimal 0x88589C

Divisor Catalog (24)

1 2 4 5 10 20 229 458 916 1,145 1,951 2,290 3,902 4,580 7,804 9,755 19,510 39,020 446,779 893,558 1,787,116 2,233,895 4,467,790 8,935,580

Collatz Trajectory (168 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,935,580 4,467,790 2,233,895 6,701,686 3,350,843 10,052,530 5,026,265 15,078,796 7,539,398 3,769,699 11,309,098 5,654,549 16,963,648 8,481,824 4,240,912 2,120,456 1,060,228 530,114 265,057 795,172 397,586 198,793 596,380 298,190 149,095 447,286 223,643 670,930 335,465 1,006,396 503,198 251,599 754,798 377,399 1,132,198 566,099 1,698,298 849,149 2,547,448 1,273,724 636,862 318,431 955,294 477,647 1,432,942 716,471 2,149,414 1,074,707 3,224,122 1,612,061 4,836,184 2,418,092 1,209,046 604,523 1,813,570 906,785 2,720,356 1,360,178 680,089 2,040,268

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